6st^2+st-5t^2=0

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Solution for 6st^2+st-5t^2=0 equation: 


Simplifying
6st2 + st + -5t2 = 0

Reorder the terms:
st + 6st2 + -5t2 = 0

Solving
st + 6st2 + -5t2 = 0

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '5t2' to each side of the equation.
st + 6st2 + -5t2 + 5t2 = 0 + 5t2

Combine like terms: -5t2 + 5t2 = 0
st + 6st2 + 0 = 0 + 5t2
st + 6st2 = 0 + 5t2
Remove the zero:
st + 6st2 = 5t2

Combine like terms: 5t2 + -5t2 = 0
st + 6st2 + -5t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(s + 6st + -5t) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

Move all terms containing s to the left, all other terms to the right.

Add '-1t' to each side of the equation.
t + -1t = 0 + -1t
Remove the zero:
0 = -1t

Simplifying
0 = -1t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(s + 6st + -5t)' equal to zero and attempt to solve:

Simplifying
s + 6st + -5t = 0

Solving
s + 6st + -5t = 0

Move all terms containing s to the left, all other terms to the right.

Add '5t' to each side of the equation.
s + 6st + -5t + 5t = 0 + 5t

Combine like terms: -5t + 5t = 0
s + 6st + 0 = 0 + 5t
s + 6st = 0 + 5t
Remove the zero:
s + 6st = 5t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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